Thermomechanical Elastic Post-Buckling of Functionally Graded Materials Plate with Random System Properties

REFERENCES

• Zhao , X. , Lee , Y. Y. and Liew , K. M. 2009 . Mechanical and Thermal Buckling Analysis of Functionally Graded Plates . Composite Structures , 90 : 161 – 171 .
   Web of Science ®Google Scholar
• Reddy , J. N. and Chin , C. D. 1998 . Thermoelastical Analysis of Functionally Graded Cylinder and Plates . Journal of Thermal Stresses , 21 : 593 – 626 .
   Web of Science ®Google Scholar
• Lanhe , Wu . 2004 . Thermal Buckling of a Simply Supported Moderately Thick Rectangular FGM Plate . Composite Structures , 64 : 211 – 218 .
   Web of Science ®Google Scholar
• Matsunaga , Hiroyuki . 2009 . Thermal Buckling of Functionally Graded Plates According to a 2D Higher-Order Deformation Theory . Composite Structures , 90 : 76 – 86 .
   Web of Science ®Google Scholar
• Feldman , E. and Aboudi , J. 1997 . Buckling Analysis of Functionally Graded Plates Subjected to Uniaxial Loading . Composite Structures , 38 : 29 – 36 .
   Web of Science ®Google Scholar
• Yang , J. and Shen , H. S. 2003 . Non-linear Analysis of Functionally Graded Plates Under Transverse and In-plane Loads . International Journal of Nonlinear Mechanics , 38 : 467 – 482 .
   Web of Science ®Google Scholar
• Javaheri , R. and Eslami , M. R. 2002 . Buckling of Functionally Graded Plates Under In-plane Compressive Loading . Journal of Applied Mathematics and Mechanics , 82 ( 4 ) : 277 – 283 .
   Google Scholar
• Vel , S. S. and Batra , R. C. 2002 . Exact Solution For Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates . AIAA Journal , 40 : 1421 – 1433 .
   Web of Science ®Google Scholar
• Na , K. S. and Kim , J. H. 2006 . Three-dimensional Thermomechanical Buckling Analysis for Functionally Graded Composite Plates . Composite Structures , 73 ( 4 ) : 413 – 422 .
   Google Scholar
• Woo , J. , Merguid , S. A. , Stranart , J. C. and Liew , K. M. 2005 . Thermomechanical Postbuckling Analysis of Moderately Thick Functionally Graded Plates and Shallow Shells . International Journal of Mechanical Sciences , 47 : 1147 – 1171 .
   Web of Science ®Google Scholar
• Liew , K. M. , Yang , J. and Kittipornchai , S. 2003 . Post Buckling of Piezo-electric FGM Plates Subjected to Thermo-electro-mechanical Loading . International Journal of Solids and Structures , 40 ( 51 ) : 3689 – 3892 .
   Google Scholar
• Chang , J. S. and Leu , S. Y. 1991 . Thermal Buckling Analysis of Anti-symmetric Angle Ply Laminates Based on a Higher Order Displacement Field . Composites Science and Technology , 41 ( 2 ) : 109 – 208 .
   Google Scholar
• Ma , L. S. and Wang , T. J. 2003 . Non Linear Bending and Post-Buckling of a Functionally Graded Circular Plate Under Mechanical and Thermal Loadings . International Journal of Solids and Structures , 40 : 3311 – 3330 .
   Web of Science ®Google Scholar
• Lee , Y. Y. , Zhao , X. and Reddy , J. N. 2010 . Post Buckling Analysis of Functionally Graded Plates Subject to Compressive and Thermal Loads . Computer Methods in Applied Mechanics and Engineering , 199 : 1645 – 1653 .
   Web of Science ®Google Scholar
• Huang , X. L. and Shen , H. S. 2004 . Nonlinear Vibration and Dynamic Response of Functionally Graded Plates in Thermal Environments . International Journal of Solids and Structures , 41 : 2403 – 2427 .
   Web of Science ®Google Scholar
• Shen , H. S. 2002 . Post Buckling of Axially Loaded Functionally Graded Cylindrical Panels in Thermal Environments . International Journal of Solids and Structures , 39 : 5991 – 6010 .
   Web of Science ®Google Scholar
• Na , K. S. and Kim , J. H. 2004 . Three-dimensional Thermal Buckling Analysis of Functionally Graded Materials . Composites Part B: Engineering , 35 : 429 – 437 .
   Web of Science ®Google Scholar
• Wu , T. L. , Shukla , K. K. and Huang , J. H. 2007 . Post-buckling Analysis of Functionally Graded Rectangular Plates . Composite Structures , 81 : 1 – 10 .
   Web of Science ®Google Scholar
• Liew , K. M. , He , X. Q. , Ng , T. Y. and Kitipornchai , S. 2002 . Active Control of FGM Shells Subjected to a Temperature Gradient via Piezoelectric Sensor/Actuator or Patches . International Journal of Numerical Methods in Engineering , 55 : 653 – 668 .
   Web of Science ®Google Scholar
• Shen , H. S. 2005 . Postbuckling of FGM Plates with Piezoelectric Actuators under Thermo-electro-mechanical Loadings . International Journal of Solids and Structures , 42 : 6101 – 6121 .
   Web of Science ®Google Scholar
• Tung , H. V. 2011 . Mechanical and Thermal Postbuckling of Higher Order Shear Deformable Functionally Graded Plates on Elastic Foundations . Composite Structures , 93 : 2874–2881
   Google Scholar
• Sadovsky , Z. 1997 . Stochastic Resistance of Square Plate under Uniaxial Compression . Engineering Structure , 19 : 827 – 833 .
   Google Scholar
• Salim , S. , Iyengar , N. G.R. and Yadav , D. 1998 . Buckling of Laminated Plates with Random Material Characteristics . Applied Composite Material , 5 : 1 – 9 .
   Web of Science ®Google Scholar
• Graham , L. L. and Siragy , E. F. 2001 . Stochastic Finite-element Analysis for Elastic Buckling of Stiffened Panels . Journal of Engineering Mechanics, ASCE , 127 : 91 – 97 .
   Google Scholar
• Singh , B. N. , Iyengar , N. G.R. and Yadav , D. 2001 . Effects of Random Material Properties on Buckling of Composite Plates . Journal of Engineering Mechanics, ASCE , 127 : 873 – 879 .
   Web of Science ®Google Scholar
• Singh , B. N. , Yadav , D. and Iyengar , N. G.R. 2001 . Natural Frequencies of Composite Plates with Random Material Properties using Higher Order Shear Deformation Theory . International Journal of Mechanical Science , 43 : 2193 – 2214 .
   Web of Science ®Google Scholar
• Singh , B. N. , Iyengar , N. G.R. and Yadav , D. 2002 . A C° Finite Element Investigation For Buckling of Shear Deformable Laminated Composite Plates with Random Material Properties . International Journal of Structural Engineering Mechanics , 113 ( 1 ) : 53 – 74 .
   Google Scholar
• Singh , B. N. , Lal , A. and Kumar , R. 2009 . Post Buckling Response of Laminated Composite Plate on Elastic Foundation with Random System Properties . Communication in Nonlinear Science and Numerical Simulation , 14 : 284 – 300 .
   Web of Science ®Google Scholar
• Singh , B. N. and Verma , V. K. 2009 . Hygrothermal Effects on the Buckling of Laminated Composite Plates with Random Geometric and Material Properties . Journal of Reinforced Plastic Composites , 28 ( 4 ) : 409 – 427 .
   Google Scholar
• Yang , J. , Kitipornchai , S. and Liew , K. M. 2005 . Second Order Statistic of the Elastic Buckling of Functionally Graded Rectangular Plates . Composite Science and Technology , 65 : 1165 – 1175 .
   Web of Science ®Google Scholar
• Yang , J. , Liew , K. M. and Kitipornchai , S. 2005 . Stochastic Analysis of Compositionally Graded Plates with System Randomness under Static Loading . International Journal of Mechanical Science , 47 : 1519 – 1541 .
   Web of Science ®Google Scholar
• Kitipornchai , S. , Yang , J. and Liew , K. M. 2006 . Random Vibration of Functionally Graded Laminates in Thermal Environments . Computer Methods in Applied Mechanics Engineering , 195 : 1075 – 1095 .
   Web of Science ®Google Scholar
• Onkar , A. K. , Upadhya , C. S. and Yadav , D. 2006 . Generalized Buckling Analysis of Laminated Plates with Random Material Properties using Stochastic Finite Elements . International Journal of Mechanical Science , 48 : 780 – 798 .
   Web of Science ®Google Scholar
• Onkar , A. K. , Upadhya , C. S. and Yadav , D. 2007 . Stochastic Finite Element Analysis Buckling Analysis of Laminated with Circular Cutouts under Uniaxial Compression . Trans ASME Journal of Applied Mechanics , 74 : 789 – 809 .
   Google Scholar
• Shankara , C. A. and Iyenger , N. G.R. 1996 . A C0 Element for the Free Vibration Analysis of Laminated Composite Plates . Journal of Sound and Vibration , 191 ( 5 ) : 721 – 738 .
   Web of Science ®Google Scholar
• Shaker , A. , Abdelrahman , W. , Tawfik , M. and Sadek , E. 2008 . Stochastic Finite Element Analysis of the Free Vibration of Functionally Graded Material Plates . Computational Mechanics , 41 : 707 – 714 .
   Web of Science ®Google Scholar
• Singh , B. N. , Lal , A. and Kumar , R. 2008 . Nonlinear Bending Response of Laminated Composite Plates on Nonlinear Elastic Foundation with Uncertain System Properties . Engineering Structures , 30 : 1101 – 1112 .
   Web of Science ®Google Scholar
• Lal , A. , Singh , B. N. and Kumar , R. 2009 . Effect of Random System Properties on Thermal Buckling Analysis of Laminated Composite Plates . Computers Structures , 87 : 1119 – 1128 .
   Web of Science ®Google Scholar
• Jagtap , K. R. , Lal , A. and Singh , B. N. 2011 . Stochastic Nonlinear Free Vibration Analysis of Elastically Supported Functionally Graded Material Plate with System Randomness in Thermal Environment . Composite Structures , 93 ( 12 ) : 3185 – 3199 .
   Web of Science ®Google Scholar
• Kleiber , M. and Hien , T. D. 1992 . The Stochastic Finite Element Method , New York : Wiley .
   Google Scholar
• Zhang , Y. , Chen , S. , Lue , Q. and Liu , T. 1996 . Stochastic Perturbation Finite Elements . Computers Structures , 23 : 1831 – 1845 .
   Google Scholar
• Chia , C. Y. 1980 . Nonlinear Analysis of Plates , New York : McGraw-Hill .
   Google Scholar
• Reddy , J. N. 1984 . Energy and Variational Methods in Applied Mechanics , Wiley, New Jersey .
   Google Scholar
• Franklin , J. N. 1968 . Matrix Theory , Englewood Cliffs , NJ : Prentice Hall .
   Google Scholar